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Finding the Fourth Proportional to 520,154.10, 780,425.55 and 204,830.82

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Solution

The fourth proportional to 520,154.10, 780,425.55 and 204,830.82 is: 307,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,154.10 : 780,425.55 = 204,830.82 : x
  2. Step 2: Convert to fraction form
    520,154.10/780,425.55 = 204,830.82/x
  3. Step 3: Cross multiply
    520,154.10x = 780,425.55 × 204,830.82
  4. Step 4: Simplify right side
    520,154.10x = 159,855,205,355.45
  5. Step 5: Solve for x
    x = 159,855,205,355.45/520,154.10
  6. Step 6: Final answer
    x = 307,322.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.